if alpha and beta are zeroes of a polynomial such that alpha +beta =b and alpha ×beta = b, then write a polynomial.
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Answer:
x²-bx+b
Step-by-step explanation:
Given,
α+β = b
α*β= b
A quadratic polynomial whose zeroes are alpha,beta respectively is represented as,
x²-(α+β)x+αβ
So the polynomial is
x²-bx+b
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